A Replacement Policy Based on Down Time for a Cold Standby System with Dependent Lifetime and Repairtime

Rattihalli S. R. and Hanagal David D.
Additional contact information
Rattihalli S. R.: Department of Statistics, University of Pune, Pune-411007, India. satrat23@rediffmail.com
Hanagal David D.: Department of Statistics, University of Pune, Pune-411007, India. ddh@stats.unipune.ernet.in

Stochastics and Quality Control, 2009, vol. 24, issue 2, 207-212

Abstract: In this paper we consider a cold standby system of two components with a single repair facility. The lifetime of a component is not necessarily independent of the repair time of the other component because there will be some pressure or load on the repairman if the working unit fails while repairing the other unit in order to reduce the length of down time. The lifetimes and repair times do not depend on the number of times that they have been repaired. But the reward per unit time (from a working unit) and the repair cost per unit time depend on the number of times they have been repaired. Also it is assumed that some extra amount has to be paid during the down time. The replacement policy considered here is to replace the system (both the components) as soon as the down time during any repair exceeds a given duration say ‘d’. A general expression of the cost function is derived by assuming that the joint distribution of the lifetime of a component and the repair time of the other component has Freund bivariate exponential distribution.

Keywords: Replacement policy; down time; cold standby system; Freund bivariate exponential distribution (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://doi.org/10.1515/EQC.2009.207 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:24:y:2009:i:2:p:207-212:n:4

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/EQC.2009.207

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().